Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Weakly coupled Hamilton-Jacobi systems without monotonicity condition: A first step

Panrui Ni
Communications on Pure and Applied Analysis (2024)
https://doi.org/10.3934/cpaa.2024042

PDE-constrained models with neural network terms: Optimization and global convergence

Justin Sirignano, Jonathan MacArt and Konstantinos Spiliopoulos
Journal of Computational Physics 481 112016 (2023)
https://doi.org/10.1016/j.jcp.2023.112016

Solve High-Dimensional Reflected Partial Differential Equations by Neural Network Method

Xiaowen Shi, Xiangyu Zhang, Renwu Tang and Juan Yang
Mathematical and Computational Applications 28 (4) 79 (2023)
https://doi.org/10.3390/mca28040079

Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method

Michael Klibanov, Loc H. Nguyen and Hung V. Tran
Journal of Computational Physics 451 110828 (2022)
https://doi.org/10.1016/j.jcp.2021.110828

The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. Part 1: linear coupling

Hitoshi Ishii
Mathematics in Engineering 3 (4) 1 (2021)
https://doi.org/10.3934/mine.2021032

Control and optimal stopping Mean Field Games: a linear programming approach

Roxana Dumitrescu, Marcos Leutscher and Peter Tankov
Electronic Journal of Probability 26 (none) (2021)
https://doi.org/10.1214/21-EJP713

The vanishing discount problem for monotone systems of Hamilton–Jacobi equations: part 2—nonlinear coupling

Hitoshi Ishii and Liang Jin
Calculus of Variations and Partial Differential Equations 59 (4) (2020)
https://doi.org/10.1007/s00526-020-01768-8

Uniqueness structure of weakly coupled systems of ergodic problems of Hamilton–Jacobi equations

Kengo Terai
Nonlinear Differential Equations and Applications NoDEA 26 (6) (2019)
https://doi.org/10.1007/s00030-019-0590-6

On the rate of convergence of solutions in free boundary problems via penalization

Shigeaki Koike, Takahiro Kosugi and Makoto Naito
Journal of Mathematical Analysis and Applications 457 (1) 436 (2018)
https://doi.org/10.1016/j.jmaa.2017.07.074

A Lagrangian Approach to Weakly Coupled Hamilton--Jacobi Systems

H. Mitake, A. Siconolfi, H. V. Tran and N. Yamada
SIAM Journal on Mathematical Analysis 48 (2) 821 (2016)
https://doi.org/10.1137/15M1010841

A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians

Filippo Cagnetti, Diogo Gomes, Hiroyoshi Mitake and Hung V. Tran
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 32 (1) 183 (2015)
https://doi.org/10.1016/j.anihpc.2013.10.005

Time-Dependent Mean-Field Games in the Subquadratic Case

Diogo A. Gomes, Edgard A. Pimentel and Héctor Sánchez-Morgado
Communications in Partial Differential Equations 40 (1) 40 (2015)
https://doi.org/10.1080/03605302.2014.903574

Large-time behavior for obstacle problems for degenerate viscous Hamilton–Jacobi equations

Hiroyoshi Mitake and Hung V. Tran
Calculus of Variations and Partial Differential Equations 54 (2) 2039 (2015)
https://doi.org/10.1007/s00526-015-0855-9

Homogenization of Weakly Coupled Systems of Hamilton–Jacobi Equations with Fast Switching Rates

Hiroyoshi Mitake and Hung V. Tran
Archive for Rational Mechanics and Analysis 211 (3) 733 (2014)
https://doi.org/10.1007/s00205-013-0685-x

A dynamical approach to the large-time behavior of solutions to weakly coupled systems of Hamilton–Jacobi equations

H. Mitake and H.V. Tran
Journal de Mathématiques Pures et Appliquées 101 (1) 76 (2014)
https://doi.org/10.1016/j.matpur.2013.05.004